The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several ...The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.展开更多
文摘The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.